Performance of adaptive linear physical layer network coding

Research output: Chapter in Book/Report/Conference proceedingConference contribution


We consider linear mapping functions for physical layer network coding (PNC), using a generalised description of linear mapping on some arbitrary algebraic structure. We show that a ring is a sufficient structure for this purpose, and consider the requirements for the coefficients used in the linear functions. We consider both rings based on integers and rings based on binary matrices. We then consider the performance of the mappings in the two-way relay channel using QPSK as an example, and evaluate the information loss in terms of the equivocation at the destination as a function of the relative fading of the two channels. Hence we determine the outage probability of the schemes.

Original languageEnglish
Title of host publication20th European Wireless Conference, EW 2014
Number of pages6
ISBN (Electronic)9783800736218
Publication statusPublished - 2014
Event20th European Wireless Conference, EW 2014 - Barcelona, Spain
Duration: 14 May 201416 May 2014

Publication series

Name20th European Wireless Conference, EW 2014


Conference20th European Wireless Conference, EW 2014

Bibliographical note

Publisher Copyright:
© VDE VERLAG GMBH, Berlin, Offenbach, Germany.


  • Fields
  • Linear mapping
  • Physical layer network coding
  • PNC
  • Rings

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